Telephone inquiries of $100$ IRS$$ "customers" are monitored daily at random by Xiangling Hu$.$ Incidents of incorrect information or other nonconformities$($such as impoliteness to$$ customers$)$ are recorded. The data for last week$$ follow:

$$

Day

No$.$ of Nonconformities

$1$

$2$

$2$

$6$

$3$

$16$

$4$

$20$

$5$

$9$

$$a$)$ Using $3$ standard$$ deviations, the c$-$chart for the nonconformities$$ is:

Part $2$

UCLc $=$ enter your response here nonconformities$($round your response to two decimal$$ places$).$

Part $3$

LCLc $=$ enter your response here nonconformities$($round your response to two decimal places and if your answer is$$ negative, enter this value as$0).$

Part $4$

$$b$)$ According to the c$-$chart, there

$$

IS NO SIGNIFICANT

IS SIGNIFICANT

variation in the incidents of incorrect information given out by the IRS telephone operators.